Question

A group of researchers want to determine whether the order in which items are presented influences people’s responses. The researchers claimed to be test marketing a new laundry detergent and presented subjects with two identical freshly laundered towels. The subjects were asked feel each and state which one felt softer. In each pair of towels, one had been laundered using a bargain detergent while the other had been laundered using the same detergent and fabric softener so was noticeably softer. The researchers recorded which towel each subject felt first and which the subject thought felt softer. Of the 214 subjects that felt the towel laundered with fabric softener first, 198 stated that it felt softer. Of the 286 subjects that felt the other towel first, 247 stated that the towel laundered with fabric softener felt softer. Compute the test statistic for a hypothesis test to compare the population proportion between the subjects that felt the towel laundered with fabric softener first and those that felt the other towel first. Assume that the conditions for a hypothesis test for the difference between the population proportions are met. Round your answer to two decimal places.

Answer 1